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Simplifying -7(1 + 5x) + -8 = 12 + -8x (1 * -7 + 5x * -7) + -8 = 12 + -8x (-7 + -35x) + -8 = 12 + -8x Reorder the terms: -7 + -8 + -35x = 12 + -8x Combine like terms: -7 + -8 = -15 -15 + -35x = 12 + -8x Solving -15 + -35x = 12 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -15 + -35x + 8x = 12 + -8x + 8x Combine like terms: -35x + 8x = -27x -15 + -27x = 12 + -8x + 8x Combine like terms: -8x + 8x = 0 -15 + -27x = 12 + 0 -15 + -27x = 12 Add '15' to each side of the equation. -15 + 15 + -27x = 12 + 15 Combine like terms: -15 + 15 = 0 0 + -27x = 12 + 15 -27x = 12 + 15 Combine like terms: 12 + 15 = 27 -27x = 27 Divide each side by '-27'. x = -1 Simplifying x = -1
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